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Computational Complexity of Differential and Integral Equations : An Information-Based Approach, Hardcover by Werschulz, Arthur G., ISBN 0198535899, ISBN-13 9780198535898, Brand New, Free P&P in the UK
The theory of the complexity of the solution to differential and integral equations is developed, and the relationship between the worst case setting and other (sometimes more tractable) related settings, such as the average case, probabilistic, asymptotic, and randomized settings, is also discussed. The author determines the inherent complexity of the problem and finds optimal algorithms (in the sense of having minimal cost). Furthermore, he studies to what extent standard algorithms (such as finite element methods for elliptic problems) are optimal. Annotation copyright Book News, Inc. Portland, Or.
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